Polygon Sum Theorems

Find the sum of the interior angles of a nonagon.

• 1260
• 900
• 1620
• 180

Find the measure of ONE exterior angle of a regular decagon.

• 36
• 10
• 18
• 40

A polygon's interior angles add up to 2700.  How many sides does the polygon have?

• 17
• 15
• 19
• 11

A polygon with six sides is called a(n) ______________.

• hexagon
• pentagon
• decagon
• septagon

A polygon with 5 sides is called a(n) _____________.

• pentagon
• hexagon
• septagon
• quadrilateral

A polygon with 8 sides is called a(n) __________________.

• octagon
• decagon
• heptagon
• dodecagon

What is the SUM of the angle measures in a hexagon (6 sides)?

• 720°
• 1080°
• 600°
• 540°

Find the value of x

• 87°
• 54°
• 101°
• 92°

What is the SUM of the angle measures in a 35-gon?

• 180°
• 5940°
• 1080°
• 169.71°

What is the measure of one interior angle of a regular 45-gon?

• 180°
• 360°
• 172°
• 93°